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Finding the Fourth Proportional to 767,952.56, 1,059,378.76 and 477,453.97

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Solution

The fourth proportional to 767,952.56, 1,059,378.76 and 477,453.97 is: 658,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,952.56 : 1,059,378.76 = 477,453.97 : x
  2. Step 2: Convert to fraction form
    767,952.56/1,059,378.76 = 477,453.97/x
  3. Step 3: Cross multiply
    767,952.56x = 1,059,378.76 × 477,453.97
  4. Step 4: Simplify right side
    767,952.56x = 505,804,591,334.38
  5. Step 5: Solve for x
    x = 505,804,591,334.38/767,952.56
  6. Step 6: Final answer
    x = 658,640.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.